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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    Find the remainder when the expression \[3{{x}^{3}}+8{{x}^{2}}-6x+1\] is divided by \[x+3.\]

    A)  1                                

    B)  10                   

    C)  6                    

    D)         0

    Correct Answer: B

    Solution :

    Let \[f(x)=3{{x}^{3}}+8{{x}^{2}}-6x+1\] We know that when\[f(x)\]is divided by \[x+3.\]the remainder is \[f(-3).\] Now, \[f(-3)=3(-3)3+8(-3)2-6(-3)+1\] \[=-81+72+18+1=10\]


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